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Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory

Author: Luigi Ambrosio; E N Dancer; Giuseppe Buttazzo; A Marino; M K V Murthy
Publisher: Berlin ; New York : Springer, ©2000.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic in a  Read more...
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Genre/Form: Aufsatzsammlung
Kongress
Pisa (1996)
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Luigi Ambrosio; E N Dancer; Giuseppe Buttazzo; A Marino; M K V Murthy
ISBN: 3540648038 9783540648031
OCLC Number: 40559734
Notes: "The project of editing this book originated in a two-week Summer School on "Calculus of Variations and Partial Differential Equations" which was held in Pisa in September 1996"--Preface.
Description: viii, 347 pages : illustrations ; 24 cm
Contents: I. Geometric Evolution Problems --
Geometric evolution problems, distance function and viscosity solutions / L. Ambrosio --
Variational models for phase transitions, an approach via [Gamma]-convergence / G. Alberti --
Some aspects of De Giorgi's barriers for geometric evolutions / G. Bellettini and M. Novaga --
Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth / A. Leaci --
Free discontinuity problems and their non-local approximation / A. Braides --
II. Degree Theory on Convex Sets and Applications to Bifurcation --
Degree theory on convex sets and applications to bifurcation / E.N. Dancer --
Nonlinear elliptic equations involving critical Sobolev exponents / D. Passaseo --
On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems / G. Cerami --
Solitons and Relativistic Dynamics / V. Benci and D. Fortunato --
An Algebraic approach to nonstandard analysis / V. Benci.
Responsibility: L. Ambrosio, N. Dancer ; edited by G. Buttazzo, A. Marino, M.K.V. Murthy.
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Abstract:

At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with  Read more...

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"Fazit: Dies ist kein typischer Proccedingsband, sondern stellt - insbesondere wegen der Lecture Notes von Dancer und vor allem wegen der von Ambrosio - ... eine wichtige Bereicherung der Read more...

 
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